Risk apportionment via bivariate stochastic dominance
AbstractThis paper extends to bivariate utility functions, Eeckhoudt et al.’s (2009) result for the combination of ‘bad’ and ‘good’. The decision-maker prefers to get some of the ‘good’ and some of the ‘bad’ to taking a chance on all the ‘good’ or all the ‘bad’ where ‘bad’ is defined via (N,M)-increasing concave order. We generalize the concept of bivariate risk aversion introduced by Richard (1975) to higher orders. Importantly, in the bivariate framework, preference for the lottery [(X̃,T̃);(Ỹ,Z̃)] to the lottery [(X̃,Z̃);(Ỹ,T̃)] when (X̃,Z̃) dominates (Ỹ,T̃) via (N,M)-increasing concave order allows us to assert bivariate risk apportionment of order (N,M) and to extend the concept of risk apportionment defined by Eeckhoudt and Schlesinger (2006).
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 47 (2011)
Issue (Month): 4-5 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/jmateco
Bivariate utility function; Correlation aversion; Cross-prudence; Cross-temperance; Pair-wise risk aversion; Risk apportionment; Stochastic dominance;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Eeckhoudt, Louis & Schlesinger, Harris & Tsetlin, Ilia, 2009.
"Apportioning of risks via stochastic dominance,"
Journal of Economic Theory,
Elsevier, vol. 144(3), pages 994-1003, May.
- EECKHOUDT, Louis & SCHELSINGER, Harris & TSETLIN, Ilia, . "Apportioning of risks via stochastic dominance," CORE Discussion Papers RP -2096, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Louis Eeckhoudt & Harris Schlesinger & Ilia Tsetlin, 2008. "Apportioning of Risks via Stochastic Dominance," CESifo Working Paper Series 2467, CESifo Group Munich.
- X. Henry Wang & Carmen F. Menezes, 2004.
"Increasing Outer Risk,"
0413, Department of Economics, University of Missouri, revised 23 Dec 2004.
- Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2006.
"A Good Sign for Multivariate Risk Taking,"
CESifo Working Paper Series
1796, CESifo Group Munich.
- John Heaton & Deborah Lucas, 2000. "Portfolio Choice and Asset Prices: The Importance of Entrepreneurial Risk," Journal of Finance, American Finance Association, vol. 55(3), pages 1163-1198, 06.
- Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2003.
"Multiplicative Background Risk,"
CoFE Discussion Paper
03-05, Center of Finance and Econometrics, University of Konstanz.
- Louis Eeckhoudt & Harris Schlesinger, 2005.
"Putting Risk in its Proper Place,"
CESifo Working Paper Series
1462, CESifo Group Munich.
- Edwards, Ryan D, 2008. "Health Risk and Portfolio Choice," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 472-485.
- Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
- Harvey S. Rosen & Stephen Wu, 2003.
"Portfolio Choice and Health Status,"
NBER Working Papers
9453, National Bureau of Economic Research, Inc.
- Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
- Scarsini, Marco, 1985. "Stochastic dominance with pair-wise risk aversion," Journal of Mathematical Economics, Elsevier, vol. 14(2), pages 187-201, April.
- Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
- Xue, Minggao & Cheng, Wen, 2013. "Background risk, bivariate risk attitudes, and optimal prevention," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 390-395.
- Denuit, Michel & Rey, Béatrice, 2013. "Another look at risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 335-343.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.